8,084,240

2⁴ × 5 × 139 × 727

8,084,240 is even and not a perfect square. Its factorization is 2^4 × 5 × 139 × 727 and its 40 divisors sum to 18,957,120.

Prime Factor Structure

Factorization String 2^4 × 5 × 139 × 727

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 18,957,120

Proper Divisor Sum 10,872,880

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #8084227 ← → #8084261

Radix Representation

Decimal	8084240
Binary	11110110101101100010000 (23 bits)
Octal	0o36655420
Hexadecimal	0x7B5B10

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 80 139 278 556 695 727 1,112 1,390 1,454 2,224 2,780 2,908 3,635 5,560 5,816 7,270 11,120 11,632 14,540 29,080 58,160 101,053 202,106 404,212 505,265 808,424 1,010,530 1,616,848 2,021,060 4,042,120 8,084,240

Collatz Trajectory (199 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

8,084,240 4,042,120 2,021,060 1,010,530 505,265 1,515,796 757,898 378,949 1,136,848 568,424 284,212 142,106 71,053 213,160 106,580 53,290 26,645 79,936 39,968 19,984 9,992 4,996 2,498 1,249 3,748 1,874 937 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 51,394

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